Primi di Cullen generalizzati noti per k fino a 200

La tabella seguente mostra i primi di Cullen generalizzati noti per k fino a 200. I limiti di ricerca indicati sono quelli delle ricerche esaustive; in alcuni casi sono noti primi per valori di n maggiori, ma potrebbero essercene altri per valori intermedi.

k

Valori di n tali che nkn + 1 sia primo

Limite della ricerca

2

1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881

9000000

3

2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874, 7268, 19290, 337590

773235

4

1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777, 3972, 10669, 48375

250000

5

1242, 18390

379575

6

1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115, 12043, 13118, 30981, 51496

200000

7

34, 1980, 9898

255681

8

5, 17, 23, 1911, 20855, 35945, 42816

166666

9

2, 12382, 27608, 31330, 117852

222431

10

1, 3, 9, 21, 363, 2161, 4839, 49521, 105994, 207777

260654

11

10

214125

12

1, 8, 247, 3610, 4775, 19789, 187895

254519

13

Nessuno noto

1000000

14

3, 5, 6, 9, 33, 45, 243, 252, 1798, 2429, 5686, 12509, 42545

210135

15

8, 14, 44, 154, 274, 694, 17426, 59430

136149

16

1, 3, 55, 81, 223, 1227, 3012, 3301

125000

17

19650

169029

18

1, 3, 21, 23, 842, 1683, 3401, 16839, 49963, 60239, 150940, 155928

158679

19

6460

266187

20

3, 6207, 8076, 22356, 151456

182115

21

2, 8, 26, 67100

274099

22

1, 15, 189, 814, 19909, 72207

137649

23

4330, 89350

177567

24

2, 8, 368

129821

25

Nessuno noto

500000

26

117, 3143, 3886, 7763, 64020, 88900

123862

27

2, 56, 23454, 259738

215413

28

1, 48, 468, 2655, 3741, 49930

183474

29

Nessuno noto

500000

30

1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307, 3646, 6115, 19617, 49718

101757

31

82960

174855

32

5

100000

33

2, 632, 1840, 91848

131715

34

25, 33, 103, 195, 303, 415

74615

35

304, 19116

117225

36

1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481

90181

37

36

222687

38

3, 1209

141911

39

368, 402, 36592

168555

40

1, 202, 74844

50675

41

Nessuno noto

500000

42

1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296

170000

43

390

158019

44

53

90664

45

2, 8, 84

120049

46

1, 813, 1576

89009

47

Nessuno noto

500000

48

3, 9, 14, 79, 114, 182, 9328, 13569, 60261

93537

49

Nessuno noto

500000

50

9665, 11844, 92278

104798

51

62, 1376, 10108, 29726, 65816, 136628

150971

52

1, 168, 38559

158573

53

Nessuno noto

500000

54

3, 8, 29, 11270

75855

55

Nessuno noto

497236

56

1072, 31265

125830

57

234, 470, 1670, 1898

119337

58

1, 3, 34, 181, 252, 1135, 2139, 4510

130502

59

220, 74460

149849

60

1, 9, 13, 113, 167, 202, 445, 518, 3522, 7423, 70615

87580

61

142, 76710

146157

62

1295, 7107, 43379

154473

63

8, 50, 54398

81489

64

3, 399, 7813, 14253

80000

65

16990

126417

66

1, 2, 158, 257, 1016, 2543, 3396, 3801, 81778

106152

67

474, 52932

171857

68

129897

151037

69

Nessuno noto

470690

70

1, 3, 13, 5928, 10585, 18157, 20155, 36534

74775

71

13948

126795

72

1, 2, 35, 119, 274, 607, 3185, 14360, 25201

96313

73

Nessuno noto

464214

74

3, 15, 26770

131086

75

2

110363

76

1161, 5401, 15516

106662

77

12198

131667

78

1, 25, 105, 254, 10671

58516

79

Nessuno noto

456100

80

5, 273, 3273, 23074, 59871

99392

81

350, 73272, 126042, 178192

280000

82

1, 1407, 22515

110750

83

1242

163911

84

26, 59215

70976

85

186, 1134, 39496

131529

86

3, 17, 45, 267, 117172

156579

87

2, 118, 34150

222019

88

1, 411, 1191

123155

89

298

273371

90

14, 514, 587, 27419, 49527

120817

91

101670

221415

92

9, 252, 3900, 9215

141190

93

2, 3332, 5642

167813

94

775, 1207, 3277, 11169

108252

95

202, 370, 18258

121773

96

1, 2, 3, 8, 16350, 43895, 143717

167204

97

1374

138893

98

63, 622, 1125, 4517, 25830

166767

99

2, 332, 21868, 26982, 31328, 138846

182529

100

1, 427, 2475, 21369, 72048, 98035

156065

101

Nessuno noto

500000

102

1, 2, 20, 4573, 5534, 16265, 25442

 

103

9054

 

104

23, 61012

 

105

2, 434, 632, 798, 57728

 

106

1, 3

 

107

34, 390

 

108

1, 42, 54, 176, 830, 2721, 2958, 9763, 37558

 

109

Nessuno noto

 

110

3155, 17532

 

111

26, 36, 1142

 

112

1, 319, 3334, 7765, 9189, 11094

 

113

Nessuno noto

 

114

7, 9, 53, 163, 1850, 7163, 8438, 11036, 15746

 

115

24

 

116

Nessuno noto

 

117

177482

 

118

3748, 38382

 

119

4168, 11100

 

120

3, 7, 15, 24, 94, 574, 1927

 

121

Nessuno noto

 

122

9, 114, 3191, 3513

 

123

2, 194, 260, 4682, 15022

 

124

517

 

125

144, 354

 

126

1, 3057, 7580

 

127

Nessuno noto

 

128

9, 35, 561, 7749

 

129

118, 632, 40330, 43060

 

130

1, 31, 184, 4318, 4774, 27784, 56469

 

131

10990

 

132

2, 10, 107, 147, 248, 2159, 3987, 10182, 10535

 

133

48

 

134

15, 33

 

135

2, 8

 

136

1, 2065

 

137

Nessuno noto

 

138

1, 5, 22, 651, 657

 

139

Nessuno noto

 

140

3, 48, 214, 539, 1188, 3724, 39694

 

141

1478, 62378

 

142

249, 3453, 13675

 

143

10, 12

 

144

5, 7, 13, 29, 526, 849, 2090, 2607, 21459, 56773

 

145

64872

 

146

Nessuno noto

 

147

1614, 6236, 18696

 

148

1, 91, 805, 2739, 20170

 

149

Nessuno noto

 

150

1, 3, 7, 20, 32, 69, 298, 322, 1156, 2225, 19054, 25314

 

151

139.948

 

152

4007, 4247, 5358, 27669, 50187

 

153

2, 68

 

154

3, 1729, 6348, 8313, 10213

 

155

29244

 

156

1, 2, 15, 33, 1577, 11863, 14546, 33797

 

157

328, 5334

 

158

75, 76, 297, 394, 1852

 

159

Nessuno noto

 

160

24, 3826, 14232

 

161

6

 

162

1, 2, 31, 135, 847, 1339, 7255, 34051

 

163

1378, 7782

 

164

17, 24579, 49438

 

165

8, 1040, 2282

 

166

1, 3, 12085, 58897

 

167

114

 

168

23, 139, 245, 1242, 4745, 28270

 

169

Nessuno noto

 

170

3, 16, 71, 459

 

171

Nessuno noto

 

172

1, 31, 79, 2155

 

173

2230

 

174

3, 7, 25, 39, 16655, 19179

 

175

6, 1344, 1816

 

176

3, 2373, 32452

 

177

2, 440

 

178

1, 43, 6657

 

179

Nessuno noto

 

180

1, 3, 8, 59, 20463

 

181

8656

 

182

15, 160, 174, 87258

 

183

1352

 

184

9, 429, 696, 813, 19059

 

185

10374

 

186

2, 8, 13, 43, 291, 365, 6847, 42816

 

187

628

 

188

179, 1515, 30845

 

189

2

 

190

1, 214, 2091

 

191

Nessuno noto

 

192

1, 3302

 

193

Nessuno noto

 

194

113

 

195

84, 124, 688, 9044, 34814

 

196

1, 111, 4807, 18606, 29931, 33648

 

197

3396

 

198

1, 19

 

199

118

 

200

3, 21, 29, 305, 2494